❤️ ϙᴜᴇsᴛɪᴏɴ
ᴛʜᴇ 3ʀᴅ ᴀɴᴅ ᴛʜᴇ 9ᴛʜ ᴛᴇʀᴍs ᴏғ ᴀɴ ᴀ.ᴘ. ᴀʀᴇ 4 ᴀɴᴅ − 8 ʀᴇsᴘᴇᴄᴛɪᴠᴇʟʏ, ᴛʜᴇɴ ᴡʜɪᴄʜ ᴛᴇʀᴍ ᴏғ ᴛʜɪs ᴀ.ᴘ ɪs ᴢᴇʀᴏ.
Answers
Answer:
Step-by-step explanation:By the conditions,
a+2d=4..(1)
a+8d=-8..(2)
If we do (2)-(1), we get
8d-2d=-8-4
6d=-12
d=-2
Putting this in (1), we get
a+2(-2)=4
a-4=4
a=8
According to the given,
a+(n-1)d=0
8+(n-1)(-2)=0
-2(n-1)=-8
n-1=4
n=5
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Answer:
5th term!
Step-by-step explanation:
Let :
First term be ' a ' and common difference be ' d :
We have :
t₃ = 4 and t₉ = - 8
We know :
tₙ = a + ( n - 1 ) d
4 = a + 2 d
= > a = 4 - 2 d ... ( i )
= > - 8 = a + 8 d
= > a = - 8 - 8 d ... ( ii )
From ( i ) and ( ii ) we get :
4 - 2 d = - 8 - 8 d
= > 6 d = - 12
= > d = - 2
Putting d = - 2 in ( i ) we get :
= > a = 4 - 2 d ... ( i ) [ d = - 2 ]
= > a = 4 + 4
= > a = 8
Now we have find which term is zero?
= > 0 = 8 + ( n - 1 ) - 2
= > ( n - 1 ) - 2 = - 8
= > n - 1 = 4
= > n = 5
Therefore , 5th term would be zero!